Physics – Condensed Matter
Scientific paper
1995-06-26
Physics
Condensed Matter
11 pages, latex, no figures
Scientific paper
The discussion of Fractional dimensional Hilbert spaces in the context of Haldane exclusion statistics is extended from the case \cite{IG} of $g=1/p$ for the statistical parameter to the case of rational $g=q/p$ with $q,p$-coprime positive integers. The corresponding statistical mechanics for a gas of such particles is constructed. This procedure is used to define the statistical mechanics for particles with irrational $g$. Applications to strongly correlated systems such as the Hubbard and $t-J$ models are discussed.
Gunn J. M. F.
Ilinski Kirill N.
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